Details

sample144.0ms

Algorithm

intervals

Results

20.0ms

266×

body

valid

simplify1.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
10	1417
9	670
8	579
7	535
6	492
5	411
4	271
3	144
2	67
1	25
0	8

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.7b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ t1 u) (+ t1 u))
17.4b	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

20×	`*-un-lft-identity`
16×	`add-cbrt-cube` `add-exp-log`
12×	`flip3-+` `flip-+`
9×	`pow1`
8×	`add-sqr-sqrt` `frac-times` `associate-/r/`
6×	`swap-sqr` `add-cube-cbrt` `distribute-lft-out`
5×	`prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `div-exp` `associate-r` `associate-l` `associate-l/` `associate-r/`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`distribute-lft-neg-out` `pow2` `distribute-rgt-in` `clear-num` `associate-/r` `frac-2neg` `distribute-lft-in` `times-frac` `pow-plus` `pow-prod-down` `distribute-frac-neg` `pow-sqr` `-commutative` `pow-prod-up` `div-inv` `associate-/l*` `unswap-sqr`

Counts

2 → 74

Calls

2 calls:

53.0ms	(* (+ t1 u) (+ t1 u))
27.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series167.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(* (+ t1 u) (+ t1 u))
140.0ms	(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify2.1s

Counts

80 → 80

Iterations

Iter	Nodes
done	5001
2	3391
1	430
0	116

prune364.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ v (+ t1 u))
0.0b	(/ (- t1) (+ t1 u))
1.2b	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

125×	`*-un-lft-identity`
108×	`times-frac`
81×	`add-sqr-sqrt`
69×	`add-cube-cbrt`
46×	`associate-l`
28×	`distribute-lft-out`
27×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
19×	`add-cbrt-cube` `add-exp-log`
18×	`associate-r`
13×	`associate-/l*`
9×	`neg-mul-1`
8×	`associate-/r*` `associate-/r/`
6×	`cbrt-undiv` `div-exp`
5×	`pow1`
4×	`flip3-+` `prod-exp` `cbrt-unprod` `flip-+` `div-inv` `unswap-sqr`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg` `distribute-frac-neg`
1×	`distribute-lft-neg-out` `neg-sub0` `frac-times` `div-sub` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

3 → 198

Calls

3 calls:

9.0ms	(/ v (+ t1 u))
13.0ms	(/ (- t1) (+ t1 u))
110.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series263.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(/ v (+ t1 u))
62.0ms	(/ (- t1) (+ t1 u))
164.0ms	(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify2.0s

Counts

207 → 207

Iterations

Iter	Nodes
done	5001
2	3665
1	655
0	219

prune1.1s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- t1) (+ t1 u))
0.1b	(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
2.9b	(* (/ (- t1) (+ t1 u)) v)

rewrite140.0ms

Algorithm

rewrite-expression-head

Rules

101×	`*-un-lft-identity`
85×	`times-frac`
60×	`add-sqr-sqrt`
55×	`add-cube-cbrt`
46×	`associate-l`
27×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
23×	`distribute-lft-out`
19×	`add-cbrt-cube` `add-exp-log`
11×	`associate-/l*`
9×	`neg-mul-1`
8×	`associate-/r*`
6×	`cbrt-undiv` `div-exp` `associate-/r/`
5×	`pow1`
4×	`prod-exp` `distribute-frac-neg` `cbrt-unprod`
3×	`expm1-log1p-u` `flip3-+` `associate-r` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`distribute-lft-neg-out` `clear-num` `frac-2neg` `associate-*l/` `unswap-sqr`
1×	`neg-sub0` `div-sub` `pow-prod-down` `*-commutative` `associate-/l/`

Counts

3 → 171

Calls

3 calls:

25.0ms	(/ (- t1) (+ t1 u))
41.0ms	(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
63.0ms	(* (/ (- t1) (+ t1 u)) v)

series300.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(/ (- t1) (+ t1 u))
139.0ms	(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
103.0ms	(* (/ (- t1) (+ t1 u)) v)

simplify1.9s

Counts

180 → 180

Iterations

Iter	Nodes
done	5000
2	2856
1	525
0	198

prune935.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- t1) (+ t1 u))
0.0b	(/ (+ t1 u) (* (/ (- t1) (+ t1 u)) v))
0.6b	(/ 1 (/ (+ t1 u) (* (/ (- t1) (+ t1 u)) v)))
2.9b	(* (/ (- t1) (+ t1 u)) v)

rewrite197.0ms

Algorithm

rewrite-expression-head

Rules

128×	`*-un-lft-identity` `times-frac`
79×	`add-sqr-sqrt`
74×	`add-cube-cbrt`
54×	`add-exp-log`
46×	`associate-l`
34×	`add-cbrt-cube`
27×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `distribute-lft-out`
26×	`div-exp`
17×	`associate-/l*`
14×	`cbrt-undiv` `associate-/r*`
10×	`prod-exp` `associate-/r/`
9×	`neg-mul-1`
8×	`div-inv`
7×	`pow1`
6×	`associate-*l/` `cbrt-unprod`
4×	`expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg` `flip3-+` `associate-r` `flip-+`
2×	`distribute-frac-neg` `unswap-sqr` `associate-/l/`
1×	`distribute-lft-neg-out` `neg-sub0` `div-sub` `pow-prod-down` `*-commutative` `pow-flip` `inv-pow`

Counts

4 → 240

Calls

4 calls:

21.0ms	(/ (- t1) (+ t1 u))
42.0ms	(/ (+ t1 u) (* (/ (- t1) (+ t1 u)) v))
49.0ms	(/ 1 (/ (+ t1 u) (* (/ (- t1) (+ t1 u)) v)))
67.0ms	(* (/ (- t1) (+ t1 u)) v)

series388.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(/ (- t1) (+ t1 u))
39.0ms	(/ (+ t1 u) (* (/ (- t1) (+ t1 u)) v))
173.0ms	(/ 1 (/ (+ t1 u) (* (/ (- t1) (+ t1 u)) v)))
111.0ms	(* (/ (- t1) (+ t1 u)) v)

simplify2.6s

Counts

252 → 252

Iterations

Iter	Nodes
done	5001
2	4116
1	762
0	285

prune1.2s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes278.0ms

Accuracy

0% (1.8b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 1.8b

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	23
3	23
2	20
1	16
0	10

end0.0ms

sample1.3s

Algorithm

intervals

Results

1.0s

8248×

body

valid